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MARINHO,PEDRO R.D.; BOURGUIGNON,MARCELO; SILVA,RODRIGO B.; CORDEIRO,GAUSS M.. |
Abstract: In this paper, we introduce a new three-parameter distribution by compounding the Nadarajah-Haghighi and geometric distributions, which can be interpreted as a truncated Marshall-Olkin extended Weibull. The compounding procedure is based on the work by Marshall and Olkin 1997. We prove that the new distribution can be obtained as a compound model with mixing exponential distribution. It can have decreasing, increasing, upside-down bathtub, bathtub-shaped, constant and decreasing-increasing-decreasing failure rate functions depending on the values of the parameters. Some mathematical properties of the new distribution are studied including moments and quantile function. The maximum likelihood estimation procedure is discussed and a particle swarm... |
Tipo: Info:eu-repo/semantics/article |
Palavras-chave: Exponential distribution; Failure rate function; Geometric distribution; Maximum likelihood estimation; Nadarajah-Haghighi distribution.. |
Ano: 2019 |
URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000100202 |
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CRIBARI-NETO,FRANCISCO; SANTOS,JÉSSICA. |
Abstract: The Kumaraswamy distribution is useful for modeling variables whose support is the standard unit interval, i.e., (0, 1). It is not uncommon, however, for the data to contain zeros and/or ones. When that happens, the interest shifts to modeling variables that assume values in [0, 1), (0, 1] or [0, 1]. Our goal in this paper is to introduce inflated Kumaraswamy distributions that can be used to that end. We consider inflation at one of the extremes of the standard unit interval and also the more challenging case in which inflation takes place at both interval endpoints. We introduce inflated Kumaraswamy distributions, discuss their main properties, show how to estimate their parameters (point and interval estimation) and explain how testing... |
Tipo: Info:eu-repo/semantics/article |
Palavras-chave: Inflated distribution; Kumaraswamy distribution; Likelihood ratio test; Maximum likelihood estimation; Score test; Wald test. |
Ano: 2019 |
URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300201 |
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